Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288021105> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4288021105 abstract "Bayart and Ruzsa [Ergodic Theory Dynam. Systems 35 (2015)] have recently shown that every frequently hypercyclic weighted shift on $ell^p$ is chaotic. This contrasts with an earlier result of Bayart and Grivaux [Proc. London Math. Soc. (3) 94 (2007)] who constructed a non-chaotic frequently hypercyclic weighted shift on $c_0$. We first generalize the Bayart-Ruzsa theorem to all Banach sequence spaces in which the unit sequences are a boundedly complete unconditional basis. We then study the relationship between frequent hypercyclicity and chaos for weighted shifts on Fr'echet sequence spaces, in particular on Kothe sequence spaces, and then on the special class of power series spaces. We obtain, rather curiously, that every frequently hypercyclic weighted shift on $H(mathbb{D})$ is chaotic, while $H(mathbb{C})$ admits a non-chaotic frequently hypercyclic weighted shift." @default.
- W4288021105 created "2022-07-26" @default.
- W4288021105 creator A5020152616 @default.
- W4288021105 creator A5021556988 @default.
- W4288021105 creator A5080973230 @default.
- W4288021105 date "2019-11-20" @default.
- W4288021105 modified "2023-09-29" @default.
- W4288021105 title "Chaos and frequent hypercyclicity for weighted shifts" @default.
- W4288021105 doi "https://doi.org/10.48550/arxiv.1911.09186" @default.
- W4288021105 hasPublicationYear "2019" @default.
- W4288021105 type Work @default.
- W4288021105 citedByCount "0" @default.
- W4288021105 crossrefType "posted-content" @default.
- W4288021105 hasAuthorship W4288021105A5020152616 @default.
- W4288021105 hasAuthorship W4288021105A5021556988 @default.
- W4288021105 hasAuthorship W4288021105A5080973230 @default.
- W4288021105 hasBestOaLocation W42880211051 @default.
- W4288021105 hasConcept C114614502 @default.
- W4288021105 hasConcept C118615104 @default.
- W4288021105 hasConcept C121332964 @default.
- W4288021105 hasConcept C122044880 @default.
- W4288021105 hasConcept C132954091 @default.
- W4288021105 hasConcept C134306372 @default.
- W4288021105 hasConcept C143724316 @default.
- W4288021105 hasConcept C151730666 @default.
- W4288021105 hasConcept C154945302 @default.
- W4288021105 hasConcept C163258240 @default.
- W4288021105 hasConcept C202444582 @default.
- W4288021105 hasConcept C2777052490 @default.
- W4288021105 hasConcept C2777212361 @default.
- W4288021105 hasConcept C2778112365 @default.
- W4288021105 hasConcept C2779374083 @default.
- W4288021105 hasConcept C33923547 @default.
- W4288021105 hasConcept C38652104 @default.
- W4288021105 hasConcept C41008148 @default.
- W4288021105 hasConcept C54355233 @default.
- W4288021105 hasConcept C73905626 @default.
- W4288021105 hasConcept C86803240 @default.
- W4288021105 hasConcept C97355855 @default.
- W4288021105 hasConceptScore W4288021105C114614502 @default.
- W4288021105 hasConceptScore W4288021105C118615104 @default.
- W4288021105 hasConceptScore W4288021105C121332964 @default.
- W4288021105 hasConceptScore W4288021105C122044880 @default.
- W4288021105 hasConceptScore W4288021105C132954091 @default.
- W4288021105 hasConceptScore W4288021105C134306372 @default.
- W4288021105 hasConceptScore W4288021105C143724316 @default.
- W4288021105 hasConceptScore W4288021105C151730666 @default.
- W4288021105 hasConceptScore W4288021105C154945302 @default.
- W4288021105 hasConceptScore W4288021105C163258240 @default.
- W4288021105 hasConceptScore W4288021105C202444582 @default.
- W4288021105 hasConceptScore W4288021105C2777052490 @default.
- W4288021105 hasConceptScore W4288021105C2777212361 @default.
- W4288021105 hasConceptScore W4288021105C2778112365 @default.
- W4288021105 hasConceptScore W4288021105C2779374083 @default.
- W4288021105 hasConceptScore W4288021105C33923547 @default.
- W4288021105 hasConceptScore W4288021105C38652104 @default.
- W4288021105 hasConceptScore W4288021105C41008148 @default.
- W4288021105 hasConceptScore W4288021105C54355233 @default.
- W4288021105 hasConceptScore W4288021105C73905626 @default.
- W4288021105 hasConceptScore W4288021105C86803240 @default.
- W4288021105 hasConceptScore W4288021105C97355855 @default.
- W4288021105 hasLocation W42880211051 @default.
- W4288021105 hasLocation W42880211052 @default.
- W4288021105 hasLocation W42880211053 @default.
- W4288021105 hasOpenAccess W4288021105 @default.
- W4288021105 hasPrimaryLocation W42880211051 @default.
- W4288021105 hasRelatedWork W1833479 @default.
- W4288021105 hasRelatedWork W18734588 @default.
- W4288021105 hasRelatedWork W26465764 @default.
- W4288021105 hasRelatedWork W27844063 @default.
- W4288021105 hasRelatedWork W29813789 @default.
- W4288021105 hasRelatedWork W39136418 @default.
- W4288021105 hasRelatedWork W4564849 @default.
- W4288021105 hasRelatedWork W52920979 @default.
- W4288021105 hasRelatedWork W53475019 @default.
- W4288021105 hasRelatedWork W755471 @default.
- W4288021105 isParatext "false" @default.
- W4288021105 isRetracted "false" @default.
- W4288021105 workType "article" @default.